Abernathy is a city in Texas, United States. The population was 2,839 at the 2000 census. Abernathy is mainly located in Hale County, but a small part of it extends southward into Lubbock County. Abernathy apartments for rent comparison page shows most up to date rent information on Abernathy apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.